Study of modification of strain energy density factor theory and rock crack propagation

SHI Ming-ming; ZHANG You-liang; TAN Fei

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Study of modification of strain energy density factor theory and rock crack propagation

更新时间：2026-06-25

- Study of modification of strain energy density factor theory and rock crack propagation
- Vol. 34, Issue 5, (2013)
- 作者机构：
  
  中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉,430071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：14 May 2013，
  
  Published：2013
- 稿件说明：
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SHI Ming-ming, ZHANG You-liang, TAN Fei. Study of modification of strain energy density factor theory and rock crack propagation[J]. 2013, 34(5).
DOI：

SHI Ming-ming, ZHANG You-liang, TAN Fei. Study of modification of strain energy density factor theory and rock crack propagation[J]. 2013, 34(5). DOI：

摘要

由应变能密度因子理论得出裂纹沿着形状改变比能密度因子最小的方向扩展，但理论中所使用的应力强度因子是在拉应力作用下计算得出的，而自然界中的岩体通常处于压应力场中。因此，在修正的应变能密度因子理论的基础上，结合压缩荷载作用下的裂纹尖端应力强度因子，并考虑裂纹面之间的摩擦作用得出了针对压缩荷载作用下的岩石裂纹扩展的应变能密度因子理论，并运用该理论分析了裂纹倾角、围压以及裂面摩擦力对破裂角的影响，将分析结果与已有的试验和数值分析结果进行比较，取得了良好的一致性。分析得出，在单轴压缩荷载作用下临界破裂荷载随着裂纹倾角的增大而先减小、后增大，并且一个裂纹倾角对应多个破裂角，即裂纹朝多个方向发展；在三轴压缩荷载作用下，破裂角与围压大小有关。此研究成果可为压应力场中岩石裂纹扩展的数值模拟提供参考。

Abstract

Strain energy density factor theory hypothesizes that the crack will propagate in the direction of minimum distortion energy density

while the stress intensity factors which being used in the modified theory are calculated in tension stress field. However

rock mass is usually being in compression in the nature. So the modified strain energy density theory with the stress intensity factors which has been calculated in compression is incorporated

the friction between crack faces also being took into consideration additionally; and a modified strain energy density theory which aims at analyzing the rock crack propagation in compression is proposed. The influence of crack angle

confining pressure and crack surface friction on crack propagation angle are analyzed

and the analyzing results have been compared with experiment results and numerical simulation results of other researchers and a good agreement has been obtained. The analysis shows that the critical load for cracking decreases first and then increases with the increase of crack angle under uniaxial compression. And one crack angle corresponds to more than one crack propagation angle

which means that the crack can propagate in different directions. Finally

the crack propagation angle is related to the confining pressure under triaxial compression. The results can provide reference for numerical simulation of rock crack propagation in compression.

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